Energy representation for out-of-equilibrium Brownian-like systems: steady states and fluctuation relations
arXiv:1001.4805 · doi:10.1103/PhysRevE.82.031101
Abstract
Stochastic dynamics in the energy representation is employed as a method to study non-equilibrium Brownian-like systems. It is shown that the equation of motion for the energy of such systems can be taken in the form of the Langevin equation with multiplicative noise. Properties of the steady states are examined by solving the Fokker-Planck equation for the energy distribution functions. The generalized integral fluctuation theorem is deduced for the systems characterized by the shifted probability flux operator. There are a number of entropy and fluctuation relations such as the Hatano-Sasa identity and the Jarzynski's equality that follow from this theorem.
revtex4-1, 18 pages, extended discussion, references added
References in corpus (8)
- Fluctuation-Dissipation: Response Theory in Statistical Physics
- Three detailed fluctuation theorems
- State-dependent diffusion: thermodynamic consistency and its path integral formulation
- Path-integral analysis of fluctuation theorems for general Langevin processes
- Steady state fluctuation relations for systems driven by an external random force
- Jarzynski Relation, Fluctuation Theorems, and Stochastic Thermodynamics for Non-Markovian Processes
- The "footprints'' of irreversibility
- The Measure-theoretic Identity Underlying Transient Fluctuation Theorems
Cited by in corpus (7)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Hidden symmetries and equilibrium properties of multiplicative white-noise stochastic processes
- Classical open systems with nonlinear nonlocal dissipation and state-dependent diffusion: Dynamical responses and the Jarzynski equality
- Supersymmetric formulation of multiplicative white--noise stochastic processes
- Peculiarities of the stochastic motion in antiferromagnetic nanoparticles
- Spin torque antiferromagnetic nanooscillator in the presence of magnetic noise
- Optical trapping by Laguerre-Gaussian beams: Symmetries, stability and equilibria